Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.is_left_invariant_haarContent

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
  {K₀ : TopologicalSpace.PositiveCompacts G} (g : G) (K : TopologicalSpace.Compacts G),
  (MeasureTheory.Measure.haar.haarContent K₀) (TopologicalSpace.Compacts.map (fun x => g * x) ⋯ K) =
    (MeasureTheory.Measure.haar.haarContent K₀) K

The variant of is_left_invariant_chaar for haarContent

Defined in

Mathlib.MeasureTheory.Measure.Haar.Basic

Cited by

0 results in Mathlib

Foundations

Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupTopologicalSpaceIsTopologicalGroup